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Finding the Fourth Proportional to 98,773.58, 148,165.14 and 32,213.64

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Solution

The fourth proportional to 98,773.58, 148,165.14 and 32,213.64 is: 48,322.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,773.58 : 148,165.14 = 32,213.64 : x
  2. Step 2: Convert to fraction form
    98,773.58/148,165.14 = 32,213.64/x
  3. Step 3: Cross multiply
    98,773.58x = 148,165.14 × 32,213.64
  4. Step 4: Simplify right side
    98,773.58x = 4,772,938,480.51
  5. Step 5: Solve for x
    x = 4,772,938,480.51/98,773.58
  6. Step 6: Final answer
    x = 48,322.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.